2007, Vol.10, No.3, pp.247-255
The type of critical behavior at the onset of chaos combining two
scenarios of transition to chaos is investigated for coupled
period-doubling systems. It is demonstrated that the codimension
of this critical behavior in the dissipatively coupled autonomous
auto-oscillatory systems is 3. Renormalization group analysis of
this critical behavior in the noisy driven systems is presented.
It is shown that to observe scaling in the noisy driven systems
one should rescale the noise amplitude, the numerical value of the
correspondent scaling constant is evaluated.
Key words: renormalization group, chaos, noise
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